<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper, singularly perturbed differential equations having both small and large delay are considered. The considered problem contains large delay parameter on the reaction term and small delay parameter on the convection term. The solution of the problem exhibits interior layer due to the delay parameter and strong right boundary layer due to the small perturbation parameter ε. The resulting singularly perturbed problem is solved using exponential fitted operator method. The stability and parameter uniform convergence of the proposed method are proved. To validate the applicability of the scheme, one model problem is considered for numerical experimentation.</p>
</abstract>

In this paper, singularly perturbed differential equations having both small and large delay are considered. The considered problem contains large delay parameter on the reaction term and small delay parameter on the convection term. The solution of the problem exhibits interior layer due to the delay parameter and strong right boundary layer due to the small perturbation parameter ε. The resulting singularly perturbed problem is solved using exponential fitted operator method. The stability and parameter uniform convergence of the proposed method are proved. To validate the applicability of the scheme, one model problem is considered for numerical experimentation.

Parametric uniform numerical method for singularly perturbed differential equations having both small and large delay

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

In this paper, singularly perturbed differential equations having both small and large delay are considered. The considered problem contains large delay...

Parametric uniform numerical method for singularly perturbed differential equations having both small and large delay

Published Online: Nov 15, 2023

Page range: 54 - 69

Received: Jan 20, 2021

DOI: https://doi.org/10.2478/ausm-2023-0004

Keywords
arithmetical function, Möbius function

© 2023 Habtamu Garoma Debela et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Parametric uniform numerical method for singularly perturbed differential equations having both small and large delay

Published Online: Nov 15, 2023

Page range: 54 - 69

Received: Jan 20, 2021

DOI: https://doi.org/10.2478/ausm-2023-0004

Keywordsarithmetical function, Möbius function

© 2023 Habtamu Garoma Debela et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
arithmetical function, Möbius function